Question

Kelly has a rock garden with a length of 6 feet. She constructs a scale model of the rock garden using

the scale 1 inch:2 feet.
What is the length of the garden in her model? Show your work, including your proportion.
If the width is 5 inches for the scale model and the scale is still 1 inch to 2 feet, will her scale
model drawing fit on a piece of paper that is 8.5 inches by 7 inches? Why or why not?
Answer:

Answer 1

3 inches

It will fit in the paper.

Explanation:

In the scale drawing the 2 feet original length is converted to 1 inch drawing length as Kelly constructs a scale model of the rock garden using the scale 1 inch : 2 feet.

Now the proportion is 1 inch : (2 × 12) inches = 1 : 24 {Since 1 foot is equivalent to 12 inches}

Now, maintaining that scale ratio the 6 feet original length of the garden will be converted to
`(1)/(24) * (6 * 12) = 3` inches in the drawing.

It is also given that the width of the garden in the scale model is 5 inches and the scale is still 1 inch : 2 feet.

Therefore, the dimensions of the garden in the model is 3 inches by 5 inches and this will fit on a piece of paper that is 8.5 inches by 7 inches. (Answer)